A 0.753 m solution of the solute CH3CN dissolved in the solvent C6H6 is available. Calculate the mass ( g ) of the solution that must be taken to obtain 3.274 mol of CH3CN.

Question

A 0.753 m solution of the solute CH3CN dissolved in the solvent C6H6  is available. Calculate the mass ( g ) of the solution that must be taken to obtain 3.274 mol of CH3CN.

Additional info: 
Molar Mass (g/mol)
CH3CN 	41.05
C6H6 	78.11
Density ( kg/L )
CH3CN 	0.7857
C6H6 	0.8786
Name/Formula
acetonitrile
CH3CN
benzene
C6H6

DrBob222 · Answer

There's the quick way and the long way.
Quick way:
m = moles/kg solvent
0.753 = 3.274/kg solvent.
Solve for kg solvent, then add mass of 3.274 moles CH3CN to find the total mass of the solution needed.